Nonclassical Features Interchange Between the Cavity Field andQuantized Trap

A novel recipe is proposed to generate nonclassical vibrational states of the center-of mass motions of ions in a quantized trap, based on the quantum conversion between the quantum cavity fields and the quantized trap. It is shown that, when an ion trap system interacts with the eigen mode of a single-mode Fabry-Pérot cavity where the trap was set in, and a particularly selected external laser pulse through Raman transitions, the interchange of the quantum features between the quantum light states and the quantized trap states occurs. This kind of quantum conversion can be used to prepare some nonclassical trap states in an ion trap as well as to measure the properties of initial nonclassical vibrational states.